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[AP Statistics] 5.3a Conditional Probability

Last updated 11 months ago

30 Nsɛmmisa

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1.

Answer as a fraction that is NOT simplified

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2.

You would read this notation as "The Probability of a student being 'Yes Taco Tongue' GIVEN that they are 'Yes Evil Eyebrow'"

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3.

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4.

Based on the answers above, are 'Yes Taco Tongue" and "Yes Evil Eyebrow" independent?

Yes

No

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5.

Explain your answer above

You may be wondering what the data would look like if Evil Eyebrow and Taco Tongue WERE independent. The next few questions will lead you through completing this table.

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6.

What percent of all EKHS Seniors are Yes Taco Tongue?
Answer as a decimal rounded to two places

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7.

If Taco Tongue and Evil Eyebrow are independent, what percent of the Yes Evil Eyebrows should be Yes Taco Tongue?
Answer as a decimal rounded to two places

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8.

How many people would this be?

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9.

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10.

Find each of the following using the independent table you just created.
Answer as a fraction that is NOT simplified

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11.

Answer as a fraction that is NOT simplified

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12.

Answer as a fraction that is NOT simplified

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13.

What do you notice about all three of the previous answers?

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Frequently confused with Mutually Exclusive events. Remember that Mutually Exclusive events can't even happen at the same time. If one happens, you KNOW the other one didn't, so they are NOT independent.

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14.

Find P(T|E)
Answer as a decimal rounded to two places

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15.

Interpret this value in context

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16.

Write as a probability statement using correct symbols:

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17.

Calculate the probability.
Answer as a decimal rounded to two places

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18.

Answer as a decimal rounded to two places

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Answer as a decimal rounded to two places

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Answer as a decimal rounded to two places

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21.

Answer as a decimal rounded to two places

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22.

1= smallest
4 = largest

P(B|T)
P(T|B)
P(T)
P(B)

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23.

Explain your ranking

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24.

Independent

Not Independent

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Explain

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Answer as a decimal rounded to two places

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Independent

Not Independent

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28.

Green = Blue

Independent

Not Independent

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29.

Explain

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30.

Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.

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